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PREPINSTA PRIME
How To Solve Clocks And Calendar Questions Quickly
Definition of Clock and Calendar
We will be discussing How to Solve Clocks and Calendar Questions Quickly to help students to increase efficiency at the time of Examination.
How to Solve Clocks and Calendar questions Quickly: Clock Type
Question 1.
What was the day on 10th November,1581 ?
Options:
A. Thursday
B. Monday
C. Wednesday
D. Tuesday
Solution
10 November 1581 = (1580 years + Period from 1.1.1581 to 10.11.1581)
To calculate number of odd days till 1580, we need
Number of odd days in 1200 years = 0
Number of odd days in 300 years = 1
Number of odd days in 80 years = 20 leap years + 60 ordinary years = 2 odd days
Therefore, 1580 years had 0 + 1 + 2 = 3 odd days
Now, for calculating odd days for 1.1.1581 to 10.11.1581,
January (31 days) + February (28 days) + March (31 days) + (April 30 days) + May (31 days) + June (30 days) + July (31 days) + August (31 days) + September (30 days) + October (31 days) + November (10 days)= 314 days
Total number of odd days in 314 days = (314/7) = 6 odd days
Total Number of odd days corresponding to the given date = 3 + 6 = 9 days = 9/7 = 2 odd days
As per the table, on 10 November 1581 the day was Tuesday.
Year | 2019 | 2020 | 2021 | 2022 | 2023 | 2024 | 2025 | 2026 | 2027 | 2028 | 2029 |
---|---|---|---|---|---|---|---|---|---|---|---|
No.of Odd days | 1 | 2 | 1 | 1 | 1 | 2 | 1 | 1 | 1 | 2 | 1 |
Correct option: D
Question 2.
Suppose today is Monday. Now find out what will be the day after 62 days?
Options:
A. Sunday
B. Monday
C. Wednesday
D. Tuesday
Solution
Each day to the week is repeated after 7 days.
Therefore, after 63 days, it will be Monday.
Which means that on 62nd day, it will be Sunday.
Correct option: A
Question 3.
Which year will have the same calendar as that of the year 2019?
Options
A. 2029
B. 2030
C. 2031
D. 2024
Solution
Count the number of odd days from the year 2019 onwards to get the sum equal to 0 odd day.
Year | 2019 | 2020 | 2021 | 2022 | 2023 | 2024 | 2025 | 2026 | 2027 | 2028 | 2029 |
---|---|---|---|---|---|---|---|---|---|---|---|
No.of Odd days | 1 | 2 | 1 | 1 | 1 | 2 | 1 | 1 | 1 | 2 | 1 |
Sum = 14 odd days = 0 odd days
Therefore, calendar of the year 2030 will have the same calendar as that of the year 2019.
How to Solve Clocks and Calendar Questions Quickly: Calendar Type
Question 1.
Calculate the angle between the two hands of a clock when the time shown by the clock is 5: 30 a.m?
Options
A. 100
B. 150
C. 200
D. None of the above
Solution
According to the formula
Angle = (11/2)M – 30H, where M =30, and h =5
= (11/2) x 30 – 30 x 5
= |165 – 150|, taking the mode of the values, we get
= 15°
Correct Option: B
Question 2.
How many degrees will the minute hand move, in which the second hand moves 480 ?
Option
A. 4°
B. 8°
C. 10°
D. 12°
Solution
In 480 seconds the minute hand will cover = 480/60 = 8°
Therefore, minute hand moves for 8° when the second hand has moved 480 .
Correct Option: B
Question 3.
A clock is started in the afternoon. By 10 minutes past 5, the hour hand has turned through how many degrees?
Options
A. 134°
B. 148°
C. 135°
D. 155°
Solution
Angle traced by hour hand in 12 hrs = 360°.
Angle traced by hour hand in 5 hrs 10 min = 5*60 + 10 = 310 = 310/60 = 31/6 hrs
= 360/12 * 31/6
= 155°
Correct Option: D
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Profit and loss chapter